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Finding the Fourth Proportional to 35.77, 53.44 and 27.65

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Solution

The fourth proportional to 35.77, 53.44 and 27.65 is: 41.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.77 : 53.44 = 27.65 : x
  2. Step 2: Convert to fraction form
    35.77/53.44 = 27.65/x
  3. Step 3: Cross multiply
    35.77x = 53.44 × 27.65
  4. Step 4: Simplify right side
    35.77x = 1,477.62
  5. Step 5: Solve for x
    x = 1,477.62/35.77
  6. Step 6: Final answer
    x = 41.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.